Search a number
-
+
1170379949281 = 1929725872
BaseRepresentation
bin10001000010000000000…
…101001100010011100001
311010212221210100122000221
4101002000011030103201
5123133414231334111
62253355400043041
7150362051266024
oct21020005142341
94125853318027
101170379949281
1141139aa73634
1216a9b1a63481
138649bb6398a
144090a7451bb
152069e614371
hex1108014c4e1

1170379949281 has 27 divisors (see below), whose sum is σ = 1250216295219. Its totient is φ = 1095480851328.

The previous prime is 1170379949251. The next prime is 1170379949311. The reversal of 1170379949281 is 1829499730711.

The square root of 1170379949281 is 1081841.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1170379949251) and next prime (1170379949311).

It can be written as a sum of positive squares in only one way, i.e., 525545253025 + 644834696256 = 724945^2 + 803016^2 .

It is not a de Polignac number, because 1170379949281 - 231 = 1168232465633 is a prime.

It is a super-2 number, since 2×11703799492812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1170379949251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1993832670 + ... + 1993833256.

Almost surely, 21170379949281 is an apocalyptic number.

1170379949281 is the 1081841-st square number.

1170379949281 is the 540921-st centered octagonal number.

It is an amenable number.

1170379949281 is a deficient number, since it is larger than the sum of its proper divisors (79836345938).

1170379949281 is an frugal number, since it uses more digits than its factorization.

1170379949281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 61.

The spelling of 1170379949281 in words is "one trillion, one hundred seventy billion, three hundred seventy-nine million, nine hundred forty-nine thousand, two hundred eighty-one".

Divisors: 1 19 97 361 587 1843 9409 11153 35017 56939 178771 211907 344569 1081841 3396649 5523083 6546811 20554979 33423193 104938577 124389409 635040667 1993832963 3242049721 12065772673 61598944699 1170379949281